國立虎尾科技大學 |

Quantum Codes for Topological Quantum Computation

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Quantum Codes for Topological Quantum Computation/ by Clarice Dias de Albuquerque, Eduardo Brandani da Silva, Waldir Silva Soares Jr.
作者:	Albuquerque, Clarice Dias de.
其他作者:	Soares Jr., Waldir Silva.
面頁冊數:	VIII, 116 p. 30 illus., 19 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Coding and Information Theory. -
電子資源:	https://doi.org/10.1007/978-3-031-06833-1
ISBN:	9783031068331

Quantum Codes for Topological Quantum Computation
Albuquerque, Clarice Dias de.

Quantum Codes for Topological Quantum Computation[electronic resource] /by Clarice Dias de Albuquerque, Eduardo Brandani da Silva, Waldir Silva Soares Jr. - 1st ed. 2022. - VIII, 116 p. 30 illus., 19 illus. in color.online resource. - SpringerBriefs in Mathematics,2191-8201. - SpringerBriefs in Mathematics,.

Introduction -- Review of Mathematical Concepts -- Topological Quantum Codes -- Color Codes -- The Interplay between Color Codes and Toric Codes.

This book offers a structured algebraic and geometric approach to the classification and construction of quantum codes for topological quantum computation. It combines key concepts in linear algebra, algebraic topology, hyperbolic geometry, group theory, quantum mechanics, and classical and quantum coding theory to help readers understand and develop quantum codes for topological quantum computation. One possible approach to building a quantum computer is based on surface codes, operated as stabilizer codes. The surface codes evolved from Kitaev's toric codes, as a means to developing models for topological order by using qubits distributed on the surface of a toroid. A significant advantage of surface codes is their relative tolerance to local errors. A second approach is based on color codes, which are topological stabilizer codes defined on a tessellation with geometrically local stabilizer generators. This book provides basic geometric concepts, like surface geometry, hyperbolic geometry and tessellation, as well as basic algebraic concepts, like stabilizer formalism, for the construction of the most promising classes of quantum error-correcting codes such as surfaces codes and color codes. The book is intended for senior undergraduate and graduate students in Electrical Engineering and Mathematics with an understanding of the basic concepts of linear algebra and quantum mechanics.

ISBN: 9783031068331

Standard No.: 10.1007/978-3-031-06833-1doiSubjects--Topical Terms:

669784
Coding and Information Theory.

LC Class. No.: QA76.889

Dewey Class. No.: 006.3843

Quantum Codes for Topological Quantum Computation
LDR:03069nam a22004335i 4500 001 1089305
003 DE-He213
005 20220803232146.0
007 cr nn 008mamaa
008 221228s2022 sz | s |||| 0|eng d
020 $a 9783031068331 $9 978-3-031-06833-1
024 7 $a 10.1007/978-3-031-06833-1 $2 doi
035 $a 978-3-031-06833-1
050 4 $a QA76.889
072 7 $a PHQ $2 bicssc
072 7 $a UYA $2 bicssc
072 7 $a SCI057000 $2 bisacsh
072 7 $a PHQ $2 thema
072 7 $a UYA $2 thema
082 0 4 $a 006.3843 $2 23
082 0 4 $a 530.12 $2 23
100 1 $a Albuquerque, Clarice Dias de. $e author. $0 (orcid)0000-0003-0673-5334 $1 https://orcid.org/0000-0003-0673-5334 $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1396554
245 1 0 $a Quantum Codes for Topological Quantum Computation $h [electronic resource] / $c by Clarice Dias de Albuquerque, Eduardo Brandani da Silva, Waldir Silva Soares Jr.
250 $a 1st ed. 2022.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a VIII, 116 p. 30 illus., 19 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a SpringerBriefs in Mathematics, $x 2191-8201
505 0 $a Introduction -- Review of Mathematical Concepts -- Topological Quantum Codes -- Color Codes -- The Interplay between Color Codes and Toric Codes.
520 $a This book offers a structured algebraic and geometric approach to the classification and construction of quantum codes for topological quantum computation. It combines key concepts in linear algebra, algebraic topology, hyperbolic geometry, group theory, quantum mechanics, and classical and quantum coding theory to help readers understand and develop quantum codes for topological quantum computation. One possible approach to building a quantum computer is based on surface codes, operated as stabilizer codes. The surface codes evolved from Kitaev's toric codes, as a means to developing models for topological order by using qubits distributed on the surface of a toroid. A significant advantage of surface codes is their relative tolerance to local errors. A second approach is based on color codes, which are topological stabilizer codes defined on a tessellation with geometrically local stabilizer generators. This book provides basic geometric concepts, like surface geometry, hyperbolic geometry and tessellation, as well as basic algebraic concepts, like stabilizer formalism, for the construction of the most promising classes of quantum error-correcting codes such as surfaces codes and color codes. The book is intended for senior undergraduate and graduate students in Electrical Engineering and Mathematics with an understanding of the basic concepts of linear algebra and quantum mechanics.
650 2 4 $a Coding and Information Theory. $3 669784
650 1 4 $a Quantum Computing. $3 883739
650 0 $a Information theory. $3 595305
650 0 $a Coding theory. $3 561460
650 0 $a Quantum computers. $3 564139
700 1 $a Soares Jr., Waldir Silva. $e author. $1 https://orcid.org/0000-0001-6216-8691 $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1396556
700 1 $a Silva, Eduardo Brandani da. $e author. $1 https://orcid.org/0000-0003-2687-5174 $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1396555
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783031068324
776 0 8 $i Printed edition: $z 9783031068348
830 0 $a SpringerBriefs in Mathematics, $x 2191-8198 $3 1255329
856 4 0 $u https://doi.org/10.1007/978-3-031-06833-1
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)